Question
Determine whether the sequence converges or diverges. If it converges, find the limit.$ a_n = \left( 1+ \frac {2}{n} \right)^n $
Step 1
Step 1: Recall the formula for the limit of a sequence that defines the mathematical constant e: \[ \lim_{n \to \infty} \left(1 + \frac{x}{n}\right)^n = e^x \] Show more…
Show all steps
Your feedback will help us improve your experience
Gabriel Rhodes and 68 other Calculus 2 / BC educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Determine whether the sequence converges or diverges. If it converges, find the limit. $$ a_{n}=\frac{(-1)^{n-1} n}{n^{2}+1} $$
Infinite Sequences and Series
Sequences
Determine whether the sequence converges or diverges. If it converges, find the limit. $ a_n = \frac {n!}{2^n} $
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD